JEE Main 2020MathematicsPermutation CombinationEasyNumerical

JEE Main 2020 — Permutation Combination Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

The number of words (with or without meaning) that can be formed from all the letters of the word"LETTER" in which vowels never come together is.....

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Show full solutionCorrect answer: 120
Correct answer
120

Step-by-step explanation

 Consonants are L, T, T, R

Vowels are E, E,

Total number of words (without meaning) from letters of word 'LETTER'=6!2!2!=180

Total number of words (with or without meaning) from letters of word 'LETTER' if vowels are together =5!2!=60

∴ Required =180-60=120

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About this question

This is a previous-year question from JEE Main 2020, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.